GCD of 497, 255, 871, 734 Calculator

Given Input numbers are 497, 255, 871, 734

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 497, 255, 871, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 255, 871, 734 is 1.

Therefore, GCD of numbers 497, 255, 871, 734 is 1

Given Input Data is 497, 255, 871, 734

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 497 is 7 x 71

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 871 is 13 x 67

Prime Factorization of 734 is 2 x 367

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(497, 255) = 126735

GCD(497, 255) = ( 497 x 255 ) / 126735

GCD(497, 255) = 126735 / 126735

GCD(497, 255) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 871

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 871) = 871

GCD(1, 871) = ( 1 x 871 ) / 871

GCD(1, 871) = 871 / 871

GCD(1, 871) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 497, 255, 871, 734 is 1

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1. What is the GCD of 497, 255, 871, 734?

GCD of 497, 255, 871, 734 is 1

2. Where do I get the detailed procedure to find GCD of 497, 255, 871, 734?

You can find a detailed procedure to find GCD of 497, 255, 871, 734 on our page.

3. How to find GCD of 497, 255, 871, 734 on a calculator?

You can find the GCD of 497, 255, 871, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.